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Reflecting Telescope

An astronomic...

Question

An astronomical telescope has a length of 44 cm and ten-fold magnification. The focal length of the objective lens is

A

4

cm

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B

40

cm

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C

44

cm

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D

440

cm

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Solution

The correct option is B $40$ cm
Length of the telescope $L = f_{o} + f_{e}$
$∴$ $f_{o} + f_{e} = 44$ cm
We get $f_{e} = 44 - f_{o}$
Magnification $| M | = \frac{f_{o}}{f_{e}}$
$∴$ $10 = \frac{f_{o}}{44 - f_{o}}$
$∴$ $f_{o} = \frac{440}{11} = 40$ cm

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